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Finding the Fourth Proportional to 424,052.08, 584,716.86 and 397,147.88

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Solution

The fourth proportional to 424,052.08, 584,716.86 and 397,147.88 is: 547,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,052.08 : 584,716.86 = 397,147.88 : x
  2. Step 2: Convert to fraction form
    424,052.08/584,716.86 = 397,147.88/x
  3. Step 3: Cross multiply
    424,052.08x = 584,716.86 × 397,147.88
  4. Step 4: Simplify right side
    424,052.08x = 232,219,058,425.67
  5. Step 5: Solve for x
    x = 232,219,058,425.67/424,052.08
  6. Step 6: Final answer
    x = 547,619.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.